Most heavy lift helicopters don't really go above 20 tons takeoff weight, while even a 20 foot container has a max allowable weight well above that. Most shipping containers will the 40 footers, so helicopters will probably be a no-go. There's also 20k of them so it would take quite a while.

That said, taking off some containers is a viable option but it'll probably have to wait for a crane ship to arrive.